answer:
statements
1. BD ≅ DE
2. CD ≅ DF
3. ∠BDC ≅ ∠EDF
4. ▲BDC = ▲EDF
5. BC ≅ EF
reasons
1. given
2. given
3. definition of vertical angles
4. SAS
5. CPCTC
step-by-step explanation:
- vertical angles are equal
- SAS means side-angle-side — two triangles are congruent when they meet the "requirements" for SAS
- CPCTC means corresponding parts of congruent triangles are congruent — when two triangles are congruent, their corresponding parts are also congruent
